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Finding the Fourth Proportional to 5,585.64, 7,709.58 and 3,229.26

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Solution

The fourth proportional to 5,585.64, 7,709.58 and 3,229.26 is: 4,457.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.64 : 7,709.58 = 3,229.26 : x
  2. Step 2: Convert to fraction form
    5,585.64/7,709.58 = 3,229.26/x
  3. Step 3: Cross multiply
    5,585.64x = 7,709.58 × 3,229.26
  4. Step 4: Simplify right side
    5,585.64x = 24,896,238.31
  5. Step 5: Solve for x
    x = 24,896,238.31/5,585.64
  6. Step 6: Final answer
    x = 4,457.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.